Dear Ms. Cook-Pelletier,
Thank you for posting your request on History Hub!
The Federal Government does not ordinarily create or maintain birth, death, marriage or divorce records. Such records are made and kept by State and local governments rather than the National Archives. We suggest that you contact the Ohio Bureau of Vital Records to request a record search for the birth certificate of Russell Joseph Adams. Also, please review the FamilySearch Research wiki for Ohio Birth Records.
We hope this is helpful. Best of luck with your family research!